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Finding the Fourth Proportional to 7,586.80, 11,380.84 and 2,656.32

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Solution

The fourth proportional to 7,586.80, 11,380.84 and 2,656.32 is: 3,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.80 : 11,380.84 = 2,656.32 : x
  2. Step 2: Convert to fraction form
    7,586.80/11,380.84 = 2,656.32/x
  3. Step 3: Cross multiply
    7,586.80x = 11,380.84 × 2,656.32
  4. Step 4: Simplify right side
    7,586.80x = 30,231,152.91
  5. Step 5: Solve for x
    x = 30,231,152.91/7,586.80
  6. Step 6: Final answer
    x = 3,984.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.